7.3.4.2.3. Rock, Paper, Scissors
General Information
Rock, Paper, Scissors is a simple hand game often used as a playful decision-making tool. In game theory, it serves as a basic example of a non-cooperative, simultaneous-move, zero-sum game. The game is typically played between two people who simultaneously form one of three shapes with their hands: a rock, paper, or scissors.
The basic rules are as follows:
Rock crushes Scissors,
Scissors cuts Paper, and
Paper covers Rock.
The game has a cyclic nature, with no single option dominating the others. Each choice has a clear advantage over one option and a disadvantage against another.
The game is designed such that the payoffs balance out to zero in each possible outcome, making it a zero-sum game. In a theoretical sense, neither player has a dominant strategy, and the optimal strategy involves randomizing between Rock, Paper, and Scissors to prevent the opponent from predicting their moves.
Rock, Paper, Scissors is often used as a teaching tool in introductory game theory to illustrate concepts such as mixed strategies, Nash equilibrium, and the nature of zero-sum games. Despite its simplicity, it provides insights into strategic thinking and decision-making in competitive situations.
This game can be imported, as follows:
from mlpro.gt.pool.native.games.rockpaperscissors import RockPaperScissors
Player, Coalition, and Competition
In the context of Rock, Paper, Scissors, there are usually two players, often referred to as Player 1 and Player 2. However, in this game, we setup a coalition against a coaltion Rock, Paper, Scissors games. The game consists of two coaltions, where each coalition makes a decision based on the colllaborative approach between the coalitions. Each coalition consists of 5 members, the most voted decision of the 5 members represents the final decision of the coalition.
Payoff Matrix
The outcomes are often represented in a payoff matrix, where each coaltion’s payoff depends on the combination of choices made by both coalitions:
Rock |
Paper |
Scissors |
|
|---|---|---|---|
Rock |
(0, 0) |
(0, 1) |
(1, 0) |
Paper |
(1, 0) |
(0, 0) |
(0, 1) |
Scissors |
(0, 1) |
(1, 0) |
(0, 0) |
Here, the first value in each pair represents the payoff to the row coalition, and the second value represents the payoff to the column coalition.
Solvers
Coalition |
Solvers |
|---|---|
1 |
Random solvers for all players |
2 |
Random solvers for all players |
Cross References
Citation
If you apply this game in your research or work, do not forget to cite us.